\"\"

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The velocity of the ball is thrown into the air is \"\" ft/s.

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The function of the ball is \"\".

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(a)

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Average velocity :

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The average velocity is defined as the ratio of change in distance by change in time.

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\"\", where \"\".

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Now ball is at beginning stage at \"\".

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Substitute \"\" in the function \"\".

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\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

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(i)

\

Find the average velocity at \"\".

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\"\"

\

\"\"

\

Substitute \"\" and \"\" in the above expression.

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

The average velocity at \"\" is \"\" ft/s.

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\"\"

\

(ii)

\

Find the average velocity at \"\".

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\"\"

\

\"\"

\

Substitute \"\" and \"\" in the above expression.

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

The average velocity at \"\" is \"\" ft/s.

\

\"\"

\

(iii)

\

Find the average velocity at \"\".

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\"\"

\

\"\"

\

Substitute \"\" and \"\" in the above expression.

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

The average velocity at \"\" is \"\" ft/s.

\

\"\"

\

(iv)

\

Find the average velocity at \"\".

\

\"\"

\

\"\"

\

Substitute \"\" and \"\" in the above expression.

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

The average velocity at \"\" is \"\" ft/s.

\

\"\"

\

(b)

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Find the instantaneous velocity when \"\".

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Instantaneous velocity :

\

The instantaneous velocity is defined as \"\".

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\"\"

\

Substitute \"\" in the above expression.

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\"\"

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\"\"                ( Since \"\")

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

The instantaneous velocity when \"\" is \"\" ft/s.

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\"\"

\

(a) (i) The average velocity at \"\" is \"\" ft/s.

\

     (ii) The average velocity at \"\" is \"\" ft/s.

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     (iii) The average velocity at \"\" is \"\" ft/s.

\

     (iv) The average velocity at \"\" is \"\" ft/s.

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(b) The instantaneous velocity when \"\" is \"\" ft/s.